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      Question

      In a group of 200 students, 120 read newspaper

      A, 90 read newspaper B, 80 read newspaper C, 50 read both A and B, 40 read both B and C, 30 read both A and C, 20 read all three newspapers. How many students read exactly one newspaper?
      A 110 Correct Answer Incorrect Answer
      B 152 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 225 Correct Answer Incorrect Answer

      Solution

      ATQ, Let A, B, C be the sets. Exactly two-set counts: A∩B only = 50 − 20 = 30 B∩C only = 40 − 20 = 20 A∩C only = 30 − 20 = 10 Only A = 120 − (30 + 10 + 20) = 120 − 60 = 60 Only B = 90 − (30 + 20 + 20) = 90 − 70 = 20 Only C = 80 − (10 + 20 + 20) = 80 − 50 = 30 Students with exactly one newspaper = 60 + 20 + 30 = 110.

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